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Published in 2019 at "Journal of Statistical Theory and Practice"
DOI: 10.1007/s42519-019-0038-7
Abstract: We discuss inverted exponentiated Rayleigh distribution under progressive first-failure censoring. Maximum likelihood and Bayes estimates of unknown parameters are obtained. An expectation–maximization algorithm is used for computing maximum likelihood estimates. Asymptotic intervals are constructed from…
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Keywords:
rayleigh distribution;
exponentiated rayleigh;
first failure;
inverted exponentiated ... See more keywords
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Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.03.047
Abstract: Abstract Exact confidence intervals and regions are proposed for the location and scale parameters of the Rayleigh distribution. These sets are valid for complete data, and also for standard and progressive failure censoring. Constrained optimization…
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Keywords:
rayleigh distribution;
confidence sets;
confidence;
sets two ... See more keywords
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Published in 2018 at "Journal of Statistical Computation and Simulation"
DOI: 10.1080/00949655.2017.1398256
Abstract: ABSTRACT Ranked set sampling (RSS) is an efficient method for estimating parameters when exact measurement of observation is difficult and/or expensive. In this paper, we provide maximum likelihood estimation of the shape and scale parameters…
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Keywords:
rayleigh distribution;
estimation;
distribution based;
generalized rayleigh ... See more keywords
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Published in 2024 at "Journal of Statistical Computation and Simulation"
DOI: 10.1080/00949655.2024.2328705
Abstract: The two-parameter Rayleigh distribution, as an extended distribution of the Rayleigh distribution, has been widely applied in reliability analysis. With the introduction of the location parameter, two-parameter Rayleigh distribution becomes more flexible in fitting real-data.…
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Keywords:
two parameter;
distribution;
rayleigh distribution;
estimation ... See more keywords
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Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2014.1002937
Abstract: ABSTRACT In this paper, a new extension for the generalized Rayleigh distribution is introduced. The proposed model, called Marshall–Olkin extended generalized Rayleigh distribution, arises based on the scheme introduced by Marshall and Olkin (1997). A…
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Keywords:
rayleigh distribution;
extended generalized;
generalized rayleigh;
marshall olkin ... See more keywords
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Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2015.1019140
Abstract: ABSTRACT This paper develops Bayesian analysis in the context of progressively Type II censored data from the compound Rayleigh distribution. The maximum likelihood and Bayes estimates along with associated posterior risks are derived for reliability…
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Keywords:
rayleigh distribution;
balanced loss;
censored data;
compound rayleigh ... See more keywords
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Published in 2025 at "PLOS ONE"
DOI: 10.1371/journal.pone.0310681
Abstract: This paper presents a novel extension of the exponentiated inverse Rayleigh distribution called the half-logistic exponentiated inverse Rayleigh distribution. This extension improves the flexibility of the distribution for modeling lifetime data for both monotonic and…
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Keywords:
inverse rayleigh;
distribution;
logistic exponentiated;
half logistic ... See more keywords
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Published in 2025 at "Applications of Mathematics"
DOI: 10.21136/am.2025.0078-24
Abstract: Fitting a suitable distribution to the data from a real experiment is a crucial topic in statistics. However, many of the existing distributions cannot account for the effect of environmental conditions on the components under…
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Keywords:
new generalization;
generalization compound;
distribution;
type ... See more keywords
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Published in 2022 at "Entropy"
DOI: 10.3390/e24020171
Abstract: Inverted exponentiated Rayleigh distribution is a widely used and important continuous lifetime distribution, which plays a key role in lifetime research. The joint progressively type-II censoring scheme is an effective method used in the quality…
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Keywords:
exponentiated rayleigh;
inverted exponentiated;
progressively type;
joint progressively ... See more keywords
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Published in 2022 at "Mathematics"
DOI: 10.3390/math10081316
Abstract: We propose a new goodness-of-fit test for the Rayleigh distribution which is based on a distributional fixed-point property of the Stein characterization. The limiting null distribution of the test is derived and the consistency against…
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Keywords:
rayleigh distribution;
based transformed;
transformed data;
test ... See more keywords
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Published in 2020 at "Symmetry"
DOI: 10.3390/sym12111925
Abstract: This paper discusses the sequential estimation of the scale parameter of the Rayleigh distribution using the three-stage sequential sampling procedure proposed by Hall (Ann. Stat.1981, 9, 1229–1238). Both point and confidence interval estimation are considered…
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Keywords:
rayleigh distribution;
estimation;
scale parameter;
estimation scale ... See more keywords